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Finding the Fourth Proportional to 2,806.56, 3,872.88 and 1,628

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Solution

The fourth proportional to 2,806.56, 3,872.88 and 1,628 is: 2,246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.56 : 3,872.88 = 1,628 : x
  2. Step 2: Convert to fraction form
    2,806.56/3,872.88 = 1,628/x
  3. Step 3: Cross multiply
    2,806.56x = 3,872.88 × 1,628
  4. Step 4: Simplify right side
    2,806.56x = 6,305,048.64
  5. Step 5: Solve for x
    x = 6,305,048.64/2,806.56
  6. Step 6: Final answer
    x = 2,246.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.